138829387200
138,829,387,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138829387200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
138829387200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138829387200:
26 × 3 × 52 × 73 × 37 × 43 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 37 × 43 × 53)See below for interesting mathematical facts about the number 138829387200 from the Numbermatics database.
Names of 138829387200
- Cardinal: 138829387200 can be written as One hundred thirty-eight billion, eight hundred twenty-nine million, three hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.388293872 × 1011
Factors of 138829387200
Divisors of 138829387200
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 43 48 49 50 53 56 60 64 70 74 75 80 84 86 96 98 100 105 106 111 112 120 129 140 147 148 150 159 160 168 172 175 185 192 196 200 210 212 215 222 224 240 245 258 259 265 280 294 296 300 301 318 320 336 343 344 350 370 371 392 400 420 424 430 444 448 480 490 516 518 525 530 555 560 588 592 600 602 636 645 672 686 688 700 735 740 742 777 784 795 800 840 848 860 888 903 925 960 980 1029 1032 1036 1050 1060 1075 1110 1113 1120 1176 1184 1200 1204 1225 1272 1290 1295 1325 1344 1372 1376 1400 1470 1480 1484 1505 1554 1568 1590 1591 1600 1680 1696 1715 1720 1776 1806 1813 1850 1855 1960 1961 2058 2064 2072 2100 2107 2120 2150 2220 2226 2240 2279 2352 2368 2400 2408 2450 2544 2580 2590 2597 2650 2744 2752 2775 2800 2940 2960 2968 3010 3108 3136 3180 3182 3225 3360 3392 3430 3440 3552 3612 3626 3675 3700 3710 3885 3920 3922 3975 4116 4128 4144 4200 4214 4240 4300 4440 4452 4515 4558 4704 4773 4800 4816 4900 5088 5145 5160 5180 5194 5300 5439 5488 5550 5565 5600 5880 5883 5920 5936 6020 6216 6321 6360 6364 6450 6475 6720 6837 6860 6880 7104 7224 7252 7350 7400 7420 7525 7770 7791 7840 7844 7950 7955 8232 8256 8288 8400 8428 8480 8575 8600 8880 8904 9030 9065 9116 9275 9408 9546 9632 9800 9805 10176 10290 10320 10360 10388 10535 10600 10878 10976 11100 11130 11137 11200 11395 11760 11766 11840 11872 12040 12432 12642 12691 12720 12728 12900 12950 12985 13674 13720 13727 13760 14448 14504 14700 14749 14800 14840 15050 15540 15582 15680 15688 15900 15910 15953 16464 16576 16800 16856 16960 17150 17200 17760 17808 18060 18130 18179 18232 18550 19092 19264 19425 19600 19610 20580 20640 20720 20776 21070 21200 21756 21952 22200 22260 22274 22575 22790 23520 23532 23744 23865 24080 24864 25284 25382 25440 25456 25725 25800 25900 25970 27195 27348 27440 27454 27825 28896 29008 29400 29415 29498 29600 29680 30100 31080 31164 31376 31605 31800 31820 31906 32928 33411 33600 33712 34185 34300 34400 35520 35616 36120 36260 36358 36464 37100 38073 38184 38850 38955 39200 39220 39775 41160 41181 41280 41440 41552 42140 42400 43512 44247 44400 44520 44548 45150 45325 45580 47040 47064 47730 47859 48160 49025 49728 50568 50764 50880 50912 51450 51600 51800 51940 52675 54390 54537 54696 54880 54908 55650 55685 56975 57792 58016 58800 58830 58996 59200 59360 60200 62160 62328 62752 63210 63455 63600 63640 63812 64925 65856 66822 67424 68370 68600 68635 68800 71232 72240 72520 72716 72928 73745 74200 76146 76368 77700 77910 77959 78400 78440 79550 79765 82320 82362 82880 83104 84280 84323 84800 87024 88494 88800 89040 89096 90300 90650 90895 91160 94128 95460 95718 96089 96320 98050 101136 101528 101824 102900 103200 103600 103880 105350 108780 109074 109392 109760 109816 111300 111370 111671 113950 116032 117600 117660 117992 118720 119325 120400 124320 124656 125504 126420 126910 127200 127280 127624 129850 133644 134848 135975 136740 137200 137270 144480 145040 145432 145856 147075 147490 148400 152292 152736 155400 155820 155918 156880 158025 159100 159530 164640 164724 166208 167055 168560 168646 170925 174048 176988 177600 178080 178192 180600 181300 181790 182320 188256 190365 190920 191436 192178 194775 196100 202272 203056 205800 205905 206400 207200 207760 210700 217560 218148 218784 219632 221235 222600 222740 223342 227900 233877 235200 235320 235984 238650 239295 240800 248640 249312 252840 252969 253820 254400 254560 255248 259700 267288 271950 272685 273480 274400 274540 278425 288267 288960 290080 290864 294150 294980 296800 304584 305472 310800 311640 311836 313760 316050 317275 318200 319060 329280 329448 334110 335013 337120 337292 341850 343175 348096 353976 356160 356384 361200 362600 363580 364640 368725 376512 380730 381840 382872 384356 389550 389795 392200 398825 404544 406112 411600 411810 414400 415520 421400 421615 435120 436296 437568 439264 442470 445200 445480 446684 454475 455800 467754 470640 471968 477300 478590 480445 481600 498624 505680 505938 507640 509120 510496 519400 534576 543900 545370 545713 546960 548800 549080 556850 558355 576534 580160 581728 588300 589960 590261 593600 609168 621600 623280 623672 627520 632100 634550 636400 638120 658896 668220 670026 672623 674240 674584 683700 686350 707952 712768 722400 725200 727160 729280 737450 761460 763680 765744 768712 779100 779590 781697 784400 797650 812224 823200 823620 831040 835275 842800 843230 870240 872592 878528 884940 890400 890960 893368 908950 911600 935508 941280 943936 951825 954600 957180 960890 1011360 1011876 1015280 1020992 1029525 1038800 1069152 1087800 1090740 1091426 1093920 1098160 1106175 1113700 1116710 1153068 1163456 1169385 1176600 1179920 1180522 1196475 1218336 1243200 1246560 1247344 1264200 1264845 1269100 1272800 1276240 1317792 1336440 1340052 1345246 1349168 1363425 1367400 1372700 1415904 1441335 1444800 1450400 1454320 1474900 1522920 1527360 1531488 1537424 1558200 1559180 1563394 1568800 1595300 1637139 1646400 1647240 1670550 1675065 1685600 1686460 1740480 1745184 1769880 1770783 1780800 1781920 1786736 1817900 1823200 1871016 1882560 1903650 1909200 1914360 1921780 1948975 2017869 2022720 2023752 2030560 2059050 2077600 2108075 2138304 2175600 2181480 2182852 2187840 2196320 2212350 2227400 2233420 2306136 2338770 2345091 2353200 2359840 2361044 2392950 2402225 2436672 2493120 2494688 2528400 2529690 2538200 2545600 2552480 2635584 2672880 2680104 2690492 2698336 2726850 2728565 2734800 2745400 2791775 2831808 2882670 2900800 2908640 2949800 2951305 3045840 3062976 3074848 3116400 3118360 3126788 3137600 3190600 3274278 3294480 3341100 3350130 3363115 3371200 3372920 3490368 3539760 3541566 3563840 3573472 3635800 3646400 3742032 3807300 3818400 3828720 3843560 3897950 3908485 4035738 4047504 4061120 4118100 4131827 4155200 4216150 4351200 4362960 4365704 4392640 4424700 4454800 4466840 4612272 4677540 4690182 4706400 4719680 4722088 4785900 4804450 4989376 5056800 5059380 5076400 5104960 5345760 5360208 5380984 5396672 5453700 5457130 5469600 5490800 5583550 5765340 5817280 5846925 5899600 5902610 6091680 6149696 6232800 6236720 6253576 6324225 6381200 6548556 6588960 6682200 6700260 6726230 6745840 7079520 7083132 7146944 7206675 7271600 7484064 7614600 7636800 7657440 7687120 7795900 7816970 8071476 8095008 8185695 8236200 8263654 8375325 8432300 8702400 8725920 8731408 8849400 8853915 8909600 8933680 9224544 9355080 9380364 9412800 9444176 9571800 9608900 10089345 10113600 10118760 10152800 10691520 10720416 10761968 10907400 10914260 10939200 10981600 11167100 11530680 11693850 11725455 11799200 11805220 12183360 12395481 12465600 12473440 12507152 12648450 12762400 13097112 13177920 13364400 13400520 13452460 13491680 13642825 14159040 14166264 14413350 14543200 14756525 14968128 15229200 15314880 15374240 15591800 15633940 16142952 16190016 16371390 16472400 16527308 16750650 16815575 16864600 17451840 17462816 17698800 17707830 17819200 17867360 18449088 18710160 18760728 18888352 19143600 19217800 19542425 20178690 20237520 20305600 20659135 21440832 21523936 21814800 21828520 21963200 22334200 23061360 23387700 23450910 23598400 23610440 24790962 24946880 25014304 25296900 25524800 26194224 26728800 26801040 26904920 26983360 27285650 28332528 28826700 28922789 29086400 29513050 30458400 30748480 31183600 31267880 32285904 32742780 32944800 33054616 33501300 33631150 33729200 34925632 35397600 35415660 35734720 37420320 37521456 37776704 38287200 38435600 39084850 40357380 40475040 40928475 41318270 43047872 43629600 43657040 44269575 44668400 46122720 46775400 46901820 47220880 49581924 50028608 50446725 50593800 52388448 53457600 53602080 53809840 54571300 56665056 57653400 57845578 58627275 59026100 60916800 61977405 62367200 62535760 64571808 65485560 65889600 66109232 67002600 67262300 67458400 70795200 70831320 74840640 75042912 76574400 76871200 78169700 80714760 80950080 81856950 82636540 86768367 87259200 87314080 88539150 89336800 92245440 93550800 93803640 94441760 99163848 100893450 101187600 103295675 104776896 107204160 107619680 109142600 113330112 115306800 115691156 117254550 118052200 123954810 124734400 125071520 129143616 130971120 132218464 134005200 134524600 134916800 141662640 144613945 150085824 153742400 156339400 161429520 163713900 165273080 173536734 174628160 177078300 178673600 187101600 187607280 188883520 198327696 201786900 202375200 206591350 215239360 218285200 230613600 231382312 234509100 236104400 247909620 250143040 261942240 264436928 268010400 269049200 283325280 289227890 309887025 312678800 322859040 327427800 330546160 347073468 354156600 374203200 375214560 396655392 403573800 404750400 413182700 433841835 436570400 461227200 462764624 469018200 472208800 495819240 523884480 536020800 538098400 566650560 578455780 619774050 625357600 645718080 654855600 661092320 694146936 708313200 723069725 750429120 793310784 807147600 826365400 867683670 873140800 925529248 938036400 944417600 991638480 1076196800 1156911560 1239548100 1250715200 1309711200 1322184640 1388293872 1416626400 1446139450 1614295200 1652730800 1735367340 1851058496 1876072800 1983276960 2169209175 2313823120 2479096200 2619422400 2776587744 2833252800 2892278900 3228590400 3305461600 3470734680 3752145600 3966553920 4338418350 4627646240 4958192400 5553175488 5784557800 6610923200 6941469360 8676836700 9255292480 9916384800 11569115600 13882938720 17353673400 19832769600 23138231200 27765877440 34707346800 46276462400 69414693600 138829387200
- Sum of all divisors σ(n): 568742169600
- Sum of proper divisors (its aliquot sum) s(n): 429912782400
- 138829387200 is an abundant number, because the sum of its proper divisors (429912782400) is greater than itself. Its abundance is 291083395200
Bases of 138829387200
- Binary: 100000010100101110000001010101110000002
- Hexadecimal: 0x2052E055C0
- Base-36: 1RRZFKQO
Squares and roots of 138829387200
- 138829387200 squared (1388293872002) is 19273598750327523840000
- 138829387200 cubed (1388293872003) is 2675741903646655934000590848000000
-
The
square root of 138829387200 is 372598.1578054299 -
The
cube root of 138829387200 is 5177.9811952941
Scales and comparisons
How big is 138829387200?- 138,829,387,200 seconds is equal to 4,414 years, 17 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 138,829,387,200 would take you about eight thousand, eight hundred twenty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138829387200 cubic inches would be around 431.5 feet tall.
Recreational maths with 138829387200
- 138829387200 backwards is 002783928831
- The number of decimal digits it has is: 12
- The sum of 138829387200's digits is 51
- More coming soon!
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The information we have on file for 138829387200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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